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Finding the Third Proportional to 982,400 and 1,467,532

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Solution

The third proportional to 982,400 and 1,467,532 is: 2,192,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,400 : 1,467,532 = 1,467,532 : x
  2. Step 2: Convert to fraction form
    982,400/1,467,532 = 1,467,532/x
  3. Step 3: Cross multiply
    982,400x = 1,467,532 × 1,467,532
  4. Step 4: Simplify right side
    982,400x = 2,153,650,171,024
  5. Step 5: Solve for x
    x = 2,153,650,171,024/982,400
  6. Step 6: Final answer
    x = 2,192,233.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.